Respuesta :

  • If A is 60 then B will be 30

[tex]\\ \sf\longmapsto tan60=\dfrac{a}{b}[/tex]

[tex]\\ \sf\longmapsto \sqrt{3}=\dfrac{3}{b}[/tex]

[tex]\\ \sf\longmapsto b=\dfrac{3}{\sqrt{3}}[/tex]

[tex]\\ \sf\longmapsto b=\sqrt{3}[/tex]

[tex]\\ \sf\longmapsto b=1.732[/tex]

Now

[tex]\\ \sf\longmapsto a^2+b^2=c^2[/tex]

[tex]\\ \sf\longmapsto (\sqrt{3})^2+3^2=c^2[/tex]

[tex]\\ \sf\longmapsto c^2=9+3[/tex]

[tex]\\ \sf\longmapsto c^2=12[/tex]

[tex]\\ \sf\longmapsto c=3.3[/tex]

aniilsah555

Step-by-step explanation:

Solution,

Taking angle A=60° as reference angle, we have

perpendicular(p)=3

hypotenuse(h)=c

base(b)=b

Now,

Tan 60°=p/b

√3=3/b

b=3/√3

b=1.732

Again,

Sin 60°=p/h

√3/2=3/c

√3×c=3×2

√3×c=6

c=6/√3

c=3.4

Otras preguntas